# How do you solve #3x + 2y = 8#, #6x + 4y = 16# by graphing and classify the system?

##### 1 Answer

The System of Linear Equations is **Consistent** as it has at least **one solution**.

The system has an **infinite number of solutions** and hence it is also **Dependent**.

#### Explanation:

Rewrite the **system of linear equations given in slope-Intercept Form:**

**Equation.1**

**Equation.2**

Equation.1 in **Slope-Intercept Form:**

Subtract

Divide both sides by

**Equation.3**

Equation.2 in **Slope-Intercept Form:**

Subtract

Divide both sides by

**Equation.4**

Generate tables of values for both **Equation.3** and **Equation.4**:

If you **observe the values for both equations,** you can see that values are the same and hence the **graphs represent the same line.**

The system of linear equations **has at least one solution**, and hence it is **Consistent**.

The given system of linear equations has an **infinite number of solutions**, hence it is also **Dependent**.

Hope it helps.